Systematic study of shell-model effective interaction in<i>sd</i>shell

Wang, Xiaobao; Dong, G. X.; Fang, Xu

doi:10.1051/epjconf/20146602108

Cited by 11 publications

(10 citation statements)

References 24 publications

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“…The universal Hamiltonian (USDA) was obtained from a least square fit of 380 energy data with experimental errors of 0.2 MeV or less from 66 nuclei (Brown and Wildenthal, 1988). The data were fitted from the lower and upper parts of the sd-shell by supposing that the simple mass dependence for the matrix elements was within (Wang et al, 2014):…”

Section: Resultsmentioning

confidence: 99%

Energy levels and reduced transition probabilities of 18-20F isotopes using USDA and W Hamiltonians

Hasan¹,

Obeed²

2017

Int. J. Phys. Sci.

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Energy levels for ( 18 F, 19 F and 20 F) isotopes have been studied within the framework of shell model using OXBASH code. In this work, the calculations are based on the Universal Sd-shell Hamiltonian (USDA) and W Hamiltonians for proton and neutron particle orbits in SDPN model space. The calculated energy levels and reduced electric quadrupole transition probabilities B(E2;↓) are in reasonably agreement with available empirical data. New energy levels have been predicted for all the isotopes in this work. Many unconfirmed experimental energy levels were confirmed by our calculations.

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Section: Resultsmentioning

confidence: 99%

Energy levels and reduced transition probabilities of 18-20F isotopes using USDA and W Hamiltonians

Hasan¹,

Obeed²

2017

Int. J. Phys. Sci.

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“…26 The numerical study based on the spin-tensor decomposition (STD) [27][28][29] also reveal that the V T jj ′ (ζ) matrix elements of well established effective shell-model interaction USDB 30 has the same property as of the bare tensor force. 31,32 In the present work, we are doing the similar analysis to investigate the V T jj ′ (ζ) matrix elements of widely used p-shell effective interaction CK (8)(9)(10)(11)(12)(13)(14)(15)(16). 33 In our investigation, we find that the systematics properties of tensor force is present for Isospin T = 1 in CK (8)(9)(10)(11)(12)(13)(14)(15)(16), however, the same properties are missing for their T = 0 tensor force matrix elements.…”

Section: Introductionmentioning

confidence: 85%

Modification of tensor force in \textit{p}-shell effective interaction

Jha,

Kumar,

Sarkar

et al. 2020

Preprint

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In many shell model interactions, the tensor force monopole matrix elements often retain systematic trends originating in the bare tensor force. However, in the present work, we find that Isospin T = 0 tensor force monopole matrix elements of p-shell effective interaction CK(8-16) do not share these systematic. We correct these discrepancies by modifying T = 0 tensor force two-body matrix elements (TBMEs) of CK(8-16) by the analytically calculated tensor force TBMEs. With some additional modification of singleparticle energies and TBMEs, the revised effective interaction is named as CKN. The effective interaction CKN has been tested for the calculations of p-shell nuclei of normal parity states from various physics viewpoints such as excitation spectra, electromagnetic moments, and electromagnetic and Gamow-T eller (GT ) transitions. The obtained results are found to be satisfactory.

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“…For T = 1 channel, the effective interactions based on microscopic NN forces, i.e., bare-KB, renormalized-KB, Bonn-A, are systematically over attractive than the empirical ones, while for T = 0, the microscopic interactions are more repulsive, both in sd and pf shells, consistent with the conclusions in refs. [33,34]. In Figure 1, it can be seen that the renormalization procedure has made the effective interaction less attractive in T = 1 channel and less repulsive in T = 0 channel.…”

Section: Monopole Interactionsmentioning

confidence: 99%

A short revisit to Kuo-Brown effective interactions

Wang

Dong

2015

Sci. China Phys. Mech. Astron.

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International audienceThis paper is a short revisit to Kuo-Brown effective interaction derived from the Hamada-Johnston nucleon-nucleon potential, doneby Gerry Brown and Tom Kuo. This effective interaction, derived in year 1966, is the first attempt to describe nuclear structureproperties from the free nucleon-nucleon potential. Nowadays much progress has been achieved for the effective interactions inshell model. We would compare the effective interactions obtained in the 1966 paper with up-to-date shell-model interactions insd-shell and pf-shell model space. Recent knowledge of effective interactions on nuclear structure, can also be traced in the Kuo-Brown effective interaction, i.e., the universal roles of central and tensor forces, which reminds us that such discovery should benoticed much earlier

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Systematic study of shell-model effective interaction insdshell

Cited by 11 publications

References 24 publications

Energy levels and reduced transition probabilities of 18-20F isotopes using USDA and W Hamiltonians

Energy levels and reduced transition probabilities of 18-20F isotopes using USDA and W Hamiltonians

Modification of tensor force in \textit{p}-shell effective interaction

A short revisit to Kuo-Brown effective interactions

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